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    Coursera
    1. Calculus and Optimization for Machine Learning
    2. Week 1
    3. Practice Quiz #2
    PreviousNext
      • Completed
        Video: LectureAbout the University
        . Duration: 1 minute1 min
      • Completed
        Reading: About the University
        . Duration: 10 minutes10 min
      • Completed
        Video: LectureWelcome to the Course!
        . Duration: 2 minutes2 min
      • Completed
        Pre-survey "Calculus and Optimization for Machine Learning"
        . Duration: 10 minutes10 min
      • Completed
        Video: LectureIntroduction to the Week
        . Duration: 1 minute1 min
      • Completed
        Video: LectureNumerical Sets
        . Duration: 13 minutes13 min
      • Completed
        Video: LectureMappings and Quantifiers
        . Duration: 3 minutes3 min
      • Completed
        Reading: Real numbers
        . Duration: 10 minutes10 min
      • Completed
        Video: LectureFunctions : Definitions
        . Duration: 10 minutes10 min
      • Completed
        Interactive Plot: Domain and Range
        . Duration: 15 minutes15 min
      • Completed
        Video: LectureFunctions: Arithmetic and Composition
        . Duration: 8 minutes8 min
      • Completed
        Video: LectureGraph Transformations
        . Duration: 11 minutes11 min
      • Completed
        Interactive Plot: Graph Transitions
        . Duration: 15 minutes15 min
      • Completed
        Discussion Prompt: Lifebuoy: Interactive Plots
        . Duration: 10 minutes10 min
      • Completed
        Practice Quiz: Practice Quiz #1
        3 questions
      • Completed
        Video: LectureLimit of Sequences
        . Duration: 7 minutes7 min
      • Completed
        Video: LectureLimit of Sequences: Examples
        . Duration: 11 minutes11 min
      • Completed
        Interactive Plot: Limit of the Sequences
        . Duration: 15 minutes15 min
      • Completed
        Video: LectureLimit of Sequences: Arithmetic Rules
        . Duration: 12 minutes12 min
      • Completed
        Reading: Newton's Binomial Theorem
        . Duration: 10 minutes10 min
      • Completed
        Video: LectureLimits of Sequences: Definition of e
        . Duration: 7 minutes7 min
      • Completed
        Reading: The Definition of e
        . Duration: 30 minutes30 min
      • Completed
        Video: LectureThe Indeterminate Forms
        . Duration: 3 minutes3 min
      • Completed
        Video: LectureComparison between Polynomial, Exponential and Logarithmic Functions
        . Duration: 10 minutes10 min
      • Completed
        Practice Quiz: Practice Quiz #2
        4 questions
      • Completed
        Quiz: First Week Final Test
        7 questions
      • Completed
        Discussion Prompt: Lifebuoy: Final Test
        . Duration: 10 minutes10 min
    Practice QuizPractice Quiz • 15 min15 minutes

    Practice Quiz #2

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    Practice Quiz #2
    Practice Quiz • 15 min
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    Practice Quiz #2

    Total points 4
    1.
    Question 1

    Compute the limit:

    limn→∞n3−n2+4+2n40.1n3+n5−1335

    1 / 1 point
    000
    0
    Check
    Correct

    Correct!

    2.
    Question 2

    Compute the limit:

    limn→∞ln(1+sin1n)cos2πn!

    1 / 1 point
    000
    0
    Check
    Correct

    Correct!

    3.
    Question 3

    Without any additional transformations, define the type of the indeterminate form (consider the form of the whole expression, not its parts) in the limit of:

    an=(1+2n24n2−4n)n

    1 / 1 point
    Check
    Correct
    4.
    Question 4

    Without any additional transformations, define the type of the indeterminate form (consider the form of the whole expression, not its parts) in the limit of:

    an=n2⋅lncos1n

    1 / 1 point
    Check
    Correct

    Correct!

    ˆ